Hybrid quantization of an inflationary universe
| Autor: | Guillermo A. Mena Marugán, Mikel Fernández-Méndez, Javier Olmedo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
Inflation (cosmology) Nuclear and High Energy Physics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Quantization (physics) Classical mechanics Hamiltonian constraint Quantum cosmology Scalar field Quantum Gauge fixing Loop quantum cosmology |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| Popis: | We quantize to completion an inflationary universe with small inhomogeneities in the framework of loop quantum cosmology. The homogeneous setting consists of a massive scalar field propagating in a closed, homogeneous scenario. We provide a complete quantum description of the system employing loop quantization techniques. After introducing small inhomogeneities as scalar perturbations, we identify the true physical degrees of freedom by means of a partial gauge fixing, removing all the local degrees of freedom except the matter perturbations. We finally combine a Fock description for the inhomogeneities with the polymeric quantization of the homogeneous background, providing the quantum Hamiltonian constraint of the composed system. Its solutions are then completely characterized, owing to the suitable choice of quantum constraint, and the physical Hilbert space is constructed. Finally, we consider the analog description for an alternate gauge and, moreover, in terms of gauge-invariant quantities. In the deparametrized model, all these descriptions are unitarily equivalent at the quantum level. © 2012 American Physical Society. This work was supported by the research grants Nos. MICINN/MINECO FIS2011-30145-C03-02, MICINN FIS2008-06078-C03-03, and CPAN CSD2007-00042. J.O. acknowledges CSIC for financial support under the grant No. JAEPre 08 00791, and M.F.-M. acknowledges CSIC and the European Social Fund for support under the grant No. JAEPre 2010 01544. |
| Databáze: | OpenAIRE |
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